Suppose you find that an aluminum calorimeter\'s (not the specific calorimeter y

Question

Suppose you find that an aluminum calorimeter's (not the specific calorimeter you used in today's experiment) temperature changes by 10 degree C after N = 500 rotations when 2 kg are hung from the rope. You are then handed a different calorimeter of unknown material. This new calorimeter has the same radius and mass as the aluminum calorimeter, but its temperature changes by 10 degree C after only N = 180 rotations. Calculate the specific heat of the material. Suggest a possible identity for the material based on the data listed in the table at the right.

Explanation / Answer

Considering the variblles mentioned below as constants in both the specified calorimeter:

1.mass of the calorimeter,

2.temperature rise and

3.the energy supplied

The Heat transfer capacity in a claorimeter is given by

    Heat transfer Capacity = mass of the calorimeter X specific heat of the material X temperature rise

mass of the Calorimeter = mass flow rate X rotational speed

     Therefore,

Heat transfer Capacity in aluminium calorimeter = heat transfer capacity in new calorimeter

Qa = Qn

ma X Ca X (T2 - T1) X N1 = mn X Cn X (T2 - T1) X N2

here      ma = mn

              then

   CaX N1 = Cn X N2

Given that Ca = 0.9 J/go C, N1 = 500 & N2 = 180

Cn = 2.5 J/go C

Specific Heat Capacity of the new material = Cn = 2.5 J/go C

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